CBSE Class 12-science Answered
Draw a sketch of the curves y = sin x and y = cos x at
and find the area of the region enclosed by them and X-axis.
![](http://images.topperlearning.com/topper/questions/10866_image024.gif)
Asked by Topperlearning User | 12 Aug, 2016, 22:30: PM
![](https://images.topperlearning.com/topper/questions/10866_image025.jpg)
![](https://images.topperlearning.com/topper/questions/10866_image026.gif)
The region is divided into two parts, one from x = 0 to
and second from
to x =
.But the region is symmetric about x=∏/4 so the required area is
![](https://images.topperlearning.com/topper/questions/10866_image027.gif)
![](https://images.topperlearning.com/topper/questions/10866_image027.gif)
![](https://images.topperlearning.com/topper/questions/10866_image028.gif)
![2 asterisk times integral subscript 0 superscript pi divided by 4 end superscript C 1 d x](https://images.topperlearning.com/topper/tinymce/cache/7b5c9d20d6d82b15036a7d6eac8b51ab.png)
![2 asterisk times integral subscript 0 superscript pi divided by 4 end superscript sin left parenthesis x right parenthesis d x
2 asterisk times left square bracket negative cos left parenthesis x right parenthesis right square bracket subscript 0 superscript pi divided by 4 end superscript
2 asterisk times left square bracket 1 minus 1 divided by square root of 2 right square bracket
2 minus square root of 2](https://images.topperlearning.com/topper/tinymce/cache/be63450e947305789a75f222923ea646.png)
![square root of 2 s q space u n i t](https://images.topperlearning.com/topper/tinymce/cache/a5df3ea002e064fb9fb097852e6a7311.png)
Answered by | 13 Aug, 2016, 00:30: AM
Concept Videos
CBSE 12-science - Maths
Asked by prasannavvss5 | 27 Sep, 2020, 13:00: PM
CBSE 12-science - Maths
Asked by bjayanta | 20 Nov, 2018, 14:05: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 12 Aug, 2016, 21:58: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 12-science - Maths
Asked by Topperlearning User | 12 Aug, 2016, 22:30: PM